72077026652705 has 8 divisors (see below), whose sum is σ = 86492844781800. Its totient is φ = 57661346123136.

The previous prime is 72077026652563. The next prime is 72077026652759. The reversal of 72077026652705 is 50725662077027.

It can be written as a sum of positive squares in 4 ways, for example, as 5420105484544 + 66656921168161 = 2328112^2 + 8164369^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72077026652705 - 2¹⁰ = 72077026651681 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33243950 + ... + 35345639.

It is an arithmetic number, because the mean of its divisors is an integer number (10811605597725).

Almost surely, 2^{72077026652705} is an apocalyptic number.

It is an amenable number.

72077026652705 is a deficient number, since it is larger than the sum of its proper divisors (14415818129095).

72077026652705 is a wasteful number, since it uses less digits than its factorization.

72077026652705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68799763.

The product of its (nonzero) digits is 17287200, while the sum is 56.

Adding to 72077026652705 its sum of digits (56), we get a square (72077026652761 = 8489819²).

The spelling of 72077026652705 in words is "seventy-two trillion, seventy-seven billion, twenty-six million, six hundred fifty-two thousand, seven hundred five".